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29 results on '"Panyanak, Bancha"'

15. ENDPOINTS OF GENERALIZED BERINDE NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES.

Author

PANYANAK, BANCHA

Subjects
*HYPERBOLIC spaces, *METRIC spaces, *NONEXPANSIVE mappings
Abstract

n this paper, we introduce the notion of generalized Berinde nonexpansive mappings in metric spaces and show that it is weaker than the notion of Berinde nonexpansive mappings and stronger than the notion of semi-nonexpansive mappings. We also obtain the semiclosed principle, an endpoint theorem, and a common endpoint theorem for generalized Berinde nonexpansive mappings. Strong and Δ-convergence theorems of the Ishikawa iteration process for semi-nonexpansive mappings are also discussed. [ABSTRACT FROM AUTHOR]

Published
2023
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25. The Jordan-von Neumann constants and fixed points for multivalued nonexpansive mappings

Author

Dhompongsa, Sompong, Domínguez Benavides, Tomás, Kaewcharoen, Anchalee, Kaewkhao, Annop, Panyanak, Bancha, Universidad de Sevilla. Departamento de Análisis Matemático, and Universidad de Sevilla. FQM127: Análisis Funcional no Lineal

Subjects
Multivalued nonexpansive mapping, Mathematics::Functional Analysis, Banach space, Weakly convergent sequence coefficient, Property (D), Regular asymptotically uniform sequence, Normal structure, Jordan-von Neumann constant
Abstract

The purpose of this paper is to study the existence of fixed point for nonexpansive multivalued mappings in a particular class of Banach spaces. Furthermore, we demonstrate a relationship between the weakly convergent sequence coefficient W CS(X) and the Jordan-von Neumann constant CNJ(X) of a Banach space X. Using this fact, we prove that if CNJ(X) is less than an appropriate positive number, then every multivalued nonexpansive mapping T : E → KC(E) has a fixed point where E is a nonempty weakly compact convex subset of a Banach space X, and KC(E) is the class of all nonempty compact convex subsets of E. Thailand Research Fund Dirección General de Enseñanza Superior Junta de Andalucía Royal Golden Jubilee Program

Published
2006

26. Fixed point theorems for multivalued mappings in modular function spaces

Author

Dhompongsa, Sompong, Domínguez Benavides, Tomás, Kaewcharoen, Anchalee, Panyanak, Bancha, Universidad de Sevilla. Departamento de Análisis Matemático, and Universidad de Sevilla. FQM127: Análisis Funcional no Lineal

Subjects
Multivalued mappings, Fixed points, Modular function spaces
Abstract

The purpose of this paper is to study the existence of fixed points for multivalued nonexpansive mappings in modular function spaces. We apply our main result to obtain fixed point theorems for multivalued mappings in the Banach spaces L1 and l1. Thailand Research Fund Dirección General de Enseñanza Superior Junta de Andalucía Royal Golden Jubilee program

Published
2006

27. The Jordan-von Neumann constants and fixed points for multivalued nonexpansive mappings

Author

Universidad de Sevilla. Departamento de Análisis Matemático, Universidad de Sevilla. FQM127: Análisis Funcional no Lineal, Dhompongsa, Sompong, Domínguez Benavides, Tomás, Kaewcharoen, Anchalee, Kaewkhao, Annop, Panyanak, Bancha, Universidad de Sevilla. Departamento de Análisis Matemático, Universidad de Sevilla. FQM127: Análisis Funcional no Lineal, Dhompongsa, Sompong, Domínguez Benavides, Tomás, Kaewcharoen, Anchalee, Kaewkhao, Annop, and Panyanak, Bancha

Abstract

The purpose of this paper is to study the existence of fixed point for nonexpansive multivalued mappings in a particular class of Banach spaces. Furthermore, we demonstrate a relationship between the weakly convergent sequence coefficient W CS(X) and the Jordan-von Neumann constant CNJ(X) of a Banach space X. Using this fact, we prove that if CNJ(X) is less than an appropriate positive number, then every multivalued nonexpansive mapping T : E → KC(E) has a fixed point where E is a nonempty weakly compact convex subset of a Banach space X, and KC(E) is the class of all nonempty compact convex subsets of E.

Published
2006

28. Fixed point theorems for multivalued mappings in modular function spaces

Author

Universidad de Sevilla. Departamento de Análisis Matemático, Universidad de Sevilla. FQM127: Análisis Funcional no Lineal, Dhompongsa, Sompong, Domínguez Benavides, Tomás, Kaewcharoen, Anchalee, Panyanak, Bancha, Universidad de Sevilla. Departamento de Análisis Matemático, Universidad de Sevilla. FQM127: Análisis Funcional no Lineal, Dhompongsa, Sompong, Domínguez Benavides, Tomás, Kaewcharoen, Anchalee, and Panyanak, Bancha

Abstract

The purpose of this paper is to study the existence of fixed points for multivalued nonexpansive mappings in modular function spaces. We apply our main result to obtain fixed point theorems for multivalued mappings in the Banach spaces L1 and l1.

Published
2006

29. Generalized hybrid mappings on CAT(κ) spaces.

Author

Nanjaras, Bancha and Panyanak, Bancha

Subjects
MATHEMATICAL mappings, FIXED point theory, STOCHASTIC convergence, GEODESIC spaces, METRIC spaces
Abstract

In this paper, we obtain the demiclosed principle, fixed point theorems, and Δ-convergence theorems for the class of generalized hybrid mappings on CAT(κ) spaces with κ > 0. Our results extend the results of Lin et al. (Fixed Point Theory Appl. 2011:49, 2011) and many others. [ABSTRACT FROM AUTHOR]

Published
2014
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